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Finding the Fourth Proportional to 11,534.64, 15,917.81 and 6,229.46

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Solution

The fourth proportional to 11,534.64, 15,917.81 and 6,229.46 is: 8,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.64 : 15,917.81 = 6,229.46 : x
  2. Step 2: Convert to fraction form
    11,534.64/15,917.81 = 6,229.46/x
  3. Step 3: Cross multiply
    11,534.64x = 15,917.81 × 6,229.46
  4. Step 4: Simplify right side
    11,534.64x = 99,159,249.95
  5. Step 5: Solve for x
    x = 99,159,249.95/11,534.64
  6. Step 6: Final answer
    x = 8,596.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.